The exchange and correlation contributions to the thermodynamic free energy and the corresponding exchange-correlation potential (V_xcσ) are evaluated for a spin-polarized electron gas over a wide range of temperatures and densities. The exchange-correlation potential is parameterized for easy usage in local-spin-density calculations. The result indicates that for t{≤}0.15 (t=T/TF), the temperature dependence of V_xcσ is negligibly small. The effects of the spin polarization are most significant for t<3. Our results for Vxc for an unpolarized system agree well with those of a previous calculation by Perrot and Dharma-wardana.
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Kanhere et al. (1986) studied this question.
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